a nonstandard finite difference scheme for solving‎ ‎fractional-order model of hiv-1 infection of‎ ‎cd4^+ t-cells

Authors

m. namjoo

s. zibaei

abstract

‎in this paper‎, ‎we introduce fractional-order into a model of hiv-1 infection of cd4^+ t--cells‎. ‎we study the effect of ‎the changing the average number of viral particles $n$ with different sets of initial conditions on the dynamics of‎ ‎the presented model‎. ‎ ‎the nonstandard finite difference (nsfd) scheme is implemented‎ ‎to study the dynamic behaviors in the fractional--order hiv-1‎‎infection model.‎ ‎ ‎numerical results show that the‎‎nsfd approach is easy to be implemented and accurated when applied to fractional-order hiv-1‎‎infection model.

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Journal title:
iranian journal of mathematical chemistry

Publisher: university of kashan

ISSN 2228-6489

volume 6

issue 2 2015

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